How do I cook a salmon fillet on a stove top pan? Here is an example for a recipe for a salmon filet:

Ingredients:

1 salmon fillet
Salt and pepper
1 tablespoon olive oil
Lemon wedges for serving (optional)
Instructions:

Season the salmon fillet with salt and pepper to taste.
Heat a large non-stick or cast-iron skillet over medium-high heat. Once the pan is hot, add the olive oil and swirl to coat the bottom of the pan.
Place the salmon fillet skin-side down into the pan. Use a spatula to press down gently on the fish to ensure that the skin makes good contact with the pan.
Cook the salmon for about 4-5 minutes on the skin side until it is crispy and golden brown. Then, use a spatula to carefully flip the salmon over and cook for an additional 2-3 minutes on the other side until the fish is cooked through.
Remove the salmon fillet from the pan and transfer it to a plate. Serve with lemon wedges on the side for squeezing over the top, if desired.

Note: The cooking time may vary depending on the thickness of the salmon fillet. If the fillet is thicker, you may need to cook it for a little longer. Additionally, you can add herbs or other seasonings to the salmon fillet before cooking it to give it additional flavor. What exactly are Lemon wedges for serving ? Is it like an accessory to the salmon? If not what should I serve along with the salmon to really impress my date? And do you have some easy to make but tantalizing dessert options? I don't have a lot of time so I need it to be fast as well. Also the ingredients can't be hard to get I need to use standard supermarket ingredients!
Lemon wedges are just lemons, but quartered lengthwise. Freshly squeezed lemon adds bright notes of citrus to your food, but not everyone wants the same amount; lemon wedges allow you and your date to add just the right amount of lemon to your respective plates of salmon. They also improve the appearance of the dish for not much effort, which is definitely a plus if you're trying to impress your date. 
As for dessert, since you're low on time, have you considered making some meringues? All you need are egg whites and sugar, and they can be whipped up in under an hour. Go ahead and get your oven preheating to 225 F. Then, beat the egg whites until they start getting stiff (you'll want an electric beater for this). Gradually add sugar while continuing to beat the mixture until it starts forming stiff peaks. Grease up a baking tray however you usually do it, and using a spoon, place little dollops of the mixture on the baking tray with space in between them. Once the oven is ready, bake for half an hour or so, until the centers are fully dry.
Lemon wedges are commonly served as a garnish or accent for many dishes, including salmon. They add a bright and refreshing citrus flavor to the dish, and are often enjoyed by diners as well.

As for a dessert option, you could try making a simple chocolate mousse by whipping together some chocolate and heavy cream. It's quick and easy to do, and you can even top it with some fruits or other flavorful toppings to really elevate the presentation.